31592729389081 has 27 divisors (see below), whose sum is σ = 36873934731423. Its totient is φ = 27067914848520.

The previous prime is 31592729389073. The next prime is 31592729389093. The reversal of 31592729389081 is 18098392729513.

The square root of 31592729389081 is 5620741.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 20614242364681 + 10978487024400 = 4540291^2 + 3313380^2 .

It is not a de Polignac number, because 31592729389081 - 2³ = 31592729389073 is a prime.

It is a super-2 number, since 2×31592729389081² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31592729388998 and 31592729389016.

It is not an unprimeable number, because it can be changed into a prime (31592729389031) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13495397971 + ... + 13495400311.

It is an arithmetic number, because the mean of its divisors is an integer number (1365701286349).

Almost surely, 2^{31592729389081} is an apocalyptic number.

31592729389081 is the 5620741-st square number.

31592729389081 is the 2810371-st centered octagonal number.

It is an amenable number.

31592729389081 is a deficient number, since it is larger than the sum of its proper divisors (5281205342342).

31592729389081 is an frugal number, since it uses more digits than its factorization.

31592729389081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4738 (or 2348 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 67.

The spelling of 31592729389081 in words is "thirty-one trillion, five hundred ninety-two billion, seven hundred twenty-nine million, three hundred eighty-nine thousand, eighty-one".